Pith Number

pith:TXTAXAXI

pith:2007:TXTAXAXIH5RKRMB5QF4DVMI6NB

not attested not anchored not stored refs pending

Quaternionic Analysis, Representation Theory and Physics

Igor Frenkel, Matvei Libine

arxiv:0711.2699 v5 · 2007-11-16 · math.RT · math-ph · math.CV · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXTAXAXIH5RKRMB5QF4DVMI6NB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:17:04.797467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9de60b82e83f62a8b03d81783ab11e6874d836144b0db4703cb566edf1eb1a3c

Aliases

arxiv: 0711.2699 · arxiv_version: 0711.2699v5 · doi: 10.48550/arxiv.0711.2699 · pith_short_12: TXTAXAXIH5RK · pith_short_16: TXTAXAXIH5RKRMB5 · pith_short_8: TXTAXAXI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXTAXAXIH5RKRMB5QF4DVMI6NB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9de60b82e83f62a8b03d81783ab11e6874d836144b0db4703cb566edf1eb1a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7dc7d0fd4f7fb43f922381a561f195773d616a95748528cacfa2a00f48f813",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2007-11-16T23:00:24Z",
    "title_canon_sha256": "8c641b38843fb5684ca154b854c061142907b3a8119f0a7833e84b5c8ef645c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2699",
    "kind": "arxiv",
    "version": 5
  }
}